Ask question

Ask question

All categories

2 years ago

11

Two cars leave an intersection, one traveling west and the other south. After some time, the slower car is 7 mi nearer to the

intersection than the faster car. At that time, the two cars are 13 mi apart. How far did each car travel?

1 answer:

VLD [36.1K]2 years ago

6 0

Answer:

Step-by-step explanation:

let x and y be the distances of each car from the intersection after sometime.

let x<y

then y-x=7

and y+x=13

add 2y=20

y=10

x=13-10=3

slower car travels 3 miles and faster car travels 10 miles

You might be interested in

The equation C = 5 9 F − 160 9 gives the relation between temperature readings in Celsius and Fahrenheit.

Pavel [41]

Step-by-step explanation:

The question is wrong. The correct equation is :

$C=\frac{5}{9}F-\frac{160}{9}$

We know that the equation gives the relation between temperature readings in Celsius and Fahrenheit.

Therefore, giving that we know the value in Fahrenheit ''F'' we can find the reading in Celsius ''C''. This define a function C(F) that depends of the variable ''F''.

So for the incise (a) we answer Yes, C is a function of F.

For (b) we need to find the mathematical domain of this function. Giving that we haven't got any mathematical restriction, the mathematical domain of the function are all real numbers.

Dom (C) = ( - ∞ , + ∞)

For (c) we know that the water in liquid state and at normal atmospheric pressure exists between 0 and 100 Celsius.

Therefore the range will be

Rang (C) = (0,100)

Now, we need to find the domain for this range. We do this by equaliting and finding the value for the variable ''F'' :

For C = 0 :

$0=\frac{5}{9}F-\frac{160}{9}$ ⇒ $F=32$

And for C = 100 :

$100=\frac{5}{9}F-\frac{160}{9}$ ⇒ $F=212$

Therefore, the domain as relating temperatures of water in its liquid state is

Dom (C) = (32,212)

For (d) we only need to replace in the equation by $F=71$ and find the value of C ⇒

$C=\frac{5}{9}F-\frac{160}{9}$ ⇒

$C=(\frac{5}{9})(71)-\frac{160}{9}$

$C=\frac{65}{3}$ ≅ 21.67

C(71) = 21.67 °C

4 0

2 years ago

iren2701 [21]

Answer:

The distance between points A and B is 13

Step-by-step explanation:

We need to find distance between points A and B

Looking at the graph,

Point A : (2,6) and Point B: (-3,-6)

We need to find the distance between these points.

The formula used is: $Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\$

We have Points A : (2,6) and B: (-3,-6)

So, $x_1=2, y_1=6, x_2=-3, y_2=-6$

Putting values in formula and finding distance

$Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\\\Distance=\sqrt{(-3-2)^2+(-6-6)^2} \\Distance=\sqrt{(-5)^2+(-12)^2} \\Distance=\sqrt{25+144} \\Distance =\sqrt{169}\\Distance = 13$

So, the distance between points A and B is 13

6 0

2 years ago

There are 16 seagulls at 1 pm on the beach. By 3 pm, there were 40 seagulls. What is the constant rate of change?

My name is Ann [436]

For every one hour 12 seaguls show up
12 seaguls for every one hour
the answer i think is 12 seaguls per hour

3 0

2 years ago

Howie wants to get a car loan with 4% simple interest rate. If the car costs $25,000, how much would Howie need to pay back at t

likoan [24]

The amount Howie will pay back at the end of one year is $26000.00

The given parameters are:

$P =25000$ -- the principal amount

$R = 4\%$ -- the interest rate

$T=1$ --- the duration

The amount to pay back in this duration is then calculated using:

$A = P(1 + RT)$

So, we have:

$A = 25000(1 + 4\% \times 1)$

$A = 25000(1 + 4\% )$

Express percentage as decimal

$A = 25000(1 + 0.04)$

$A = 25000(1 .04)\\$

Multiply

$A = 26000$

Hence, the amount to pay back is $26000.00

Read more about simple interest at:

brainly.com/question/1115815

7 0

2 years ago

Find the slope of every line that is parallel to the line on the graph.

melamori03 [73]

Answer:

-1/5

Step-by-step explanation:

What are parallel lines?

Lines that are parallel never touch. They can extend infinitely and they will still never touch. In order for this to happen the slope of the two lines must be the same. So if we want to find the slope of every line that is parallel to the line on the graph, we simply find the slope of the line of the graph.

Finding the slope

We can find the slope using the following formula:

$Slope=\frac{y_2-y_1}{x_2-x_1}$

Where the x and y values are derived from any given points on the line (x1,y1) and (x2,y2)

Here the given points are (-5,-1) and (0,-2)

So we have (x1,y1) = (-5,-1) meaning x1 = -5 and y1 = -1

We also have (x2,y2) = (0,-2) meaning x2 = 0 and y2 = -2

Now we plug these values into the formula

Recall formula : $Slope=\frac{y_2-y_1}{x_2-x_1}$

==> Plug in x1 = -5 , y1 = -1 , x2 = 0 and y2 = -2

$Slope=\frac{-2-(-1)}{0-5}$

==> simplify numerator and denominator

$slope = \frac{1}{-5}$

So the slope of the line is -1/5

This means the slope of any parallel line to that line would also have a slope of -1/5

8 0

1 year ago